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Zizhong Chen and Jack Dongarra (2005)
Numerically Stable Real Number Codes Based on Random Matrices
In: Proceedings of the Computational Science - ICCS 2005, 5th International Conference, ed. by Vaidy S. Sunderam and G. Dick van Albada and Peter M. A. Sloot and Jack Dongarra, pp. 115–122, Springer.
Error correction codes defined over real-number field have been studied and recognized as useful in many applications. However, most real-number codes in literature are quite suspect in their numerical stability. In this paper, we introduce a class of real-number codes based on random generator matrices over real-number fields. Codes over complex-number field are also discussed. Experiment results demonstrate our codes are numerically much more stable than existing codes in literature.
